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Finding the Fourth Proportional to 101,332.26, 151,916.40 and 42,212.34

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Solution

The fourth proportional to 101,332.26, 151,916.40 and 42,212.34 is: 63,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,332.26 : 151,916.40 = 42,212.34 : x
  2. Step 2: Convert to fraction form
    101,332.26/151,916.40 = 42,212.34/x
  3. Step 3: Cross multiply
    101,332.26x = 151,916.40 × 42,212.34
  4. Step 4: Simplify right side
    101,332.26x = 6,412,746,728.38
  5. Step 5: Solve for x
    x = 6,412,746,728.38/101,332.26
  6. Step 6: Final answer
    x = 63,284.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.